| Academic Year |
2024Year |
School/Graduate School |
Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Electrical, Systems, and Control Engineering Program |
| Lecture Code |
WSG20301 |
Subject Classification |
Specialized Education |
| Subject Name |
数理学Ｃ |
Subject Name
（Katakana） |
スウリガクシー |
Subject Name in
English |
Mathematics C |
| Instructor |
SANO MEGUMI,SHIBATA TETSUTARO |
Instructor
(Katakana) |
サノ メグミ,シバタ テツタロウ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Tues7-8,Fri3-4 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Black board |
| Credits |
2.0 |
Class Hours/Week |
|
Language of Instruction |
B
:
Japanese／English |
| Course Level |
5
:
Graduate Basic
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
Master students |
| Keywords |
Variational problem, differential equation |
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Class Objectives
/Class Outline |
We study variational problems which appear in various phenomena.
The goal is to understand variational method and applications to study of some differential equations.
|
| Class Schedule |
[1] Introduction (Sano)
[2] Examples of variational problems (Sano)
[3] Background of the isoperimetric problem (Sano)
[4] Introduction to the isoperimetric problem (Sano)
[5] Dirichlet principle for the Poisson equation (Sano)
[6] Topic 1 (Shibata)
[7] Topic 2 (Shibata)
[8] Differentiation of functional (Sano)
[9] Weak differentiation (Sano)
[10] Sobolev spaces (Sano)
[11] Compactness (Sano)
[12] Introduction to the Direct method (Sano)
[13] An application of the Direct method (Sano)
[14] Introduction to the Mountain pass theorem(Sano)
[15] An application of the Mountain pass theorem(Sano) |
Text/Reference
Books,etc. |
References: Variational methods, M. Struwe, Springer |
PC or AV used in
Class,etc. |
|
| (More Details) |
handout.
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
After every lecture, solve the problems given as a homework.
|
| Requirements |
The knowledge of advanced calculus, definite integral, linear algebra, differential equations
|
| Grading Method |
Reports, Quiz, Examinations |
| Practical Experience |
|
| Summary of Practical Experience and Class Contents based on it |
|
| Message |
|
| Other |
|
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. |